20 citations · 26 across the 2 of their papers we have counts for
7 papers · 1 filter
Global weak solutions to the Nordström-Vlasov system
Simone Calogero, Gerhard Rein
The Nordström-Vlasov system is a Lorentz invariant model for a self-gravitating collisionless gas. We establish suitable a-priori-bounds on the solutions of this system, which toge…
On classical solutions of the Nordström-Vlasov system
Simone Calogero, Gerhard Rein
The Nordström-Vlasov system describes the dynamics of a self-gravitating ensemble of collisionless particles in the framework of the Nordström scalar theory of gravitation. We prov…
Reduction and a concentration-compactness principle for energy-Casimir functionals
Gerhard Rein
Energy-Casimir functionals are a useful tool for the construction of steady states and the analysis of their nonlinear stability properties for a variety of conservative systems in…
Existence and nonlinear stability of steady states of the Schrödinger-Poisson system
Peter A. Markowich, Gerhard Rein, Gershon Wolansky
We consider the Schrödinger-Poisson system in the attractive (plasma physics) Coulomb case. Given a steady state from a certain class we prove its nonlinear stability, using an app…
Existence and stability of Camm type steady states in galactic dynamics
Yan Guo, Gerhard Rein
We prove the existence and nonlinear stability of Camm type steady states of the Vlasov-Poisson system in the gravitational case. The paper demonstrates the effectiveness of an app…
Static shells for the Vlasov-Poisson and Vlasov-Einstein systems
Gerhard Rein
We prove the existence of static, spherically symmetric solutions of the stellar dynamic Vlasov-Poisson and Vlasov-Einstein systems, which have the property that their spatial supp…